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Statistics - Probability

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A certain medical test has the following characteristics. In case of a viral infection, the test shows positive with probability 0.8. Even if there is no viral infection, the test shows positive with probability 0.1. There is a 1/5 chance that any patient has a viral infection. If a patient tests positive on this test, what is the probability that he/she has a viral infection?

a. 2/3
b. 1/5
c. 3/4
d. 1/3

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